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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2501.15906 |
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| _version_ | 1866913666893348864 |
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| author | Banda, Mapundi Kondwani Friedrich, Jan Herty, Michael |
| author_facet | Banda, Mapundi Kondwani Friedrich, Jan Herty, Michael |
| contents | Lyapunov functions are popularly used to investigate the stabilization problem of systems of hyperbolic conservation laws with boundary controls. In real life applications often not every boundary value can be observed. In this work, we show the stabilization under a restricted boundary observability. Thereby, we apply the boundary control directly on the observed (physical) variables. Using well-known stabilization results from the literature, we also discuss examples such as a density flow model or the Saint-Venant equations. This shows that a restricted observation can result in more restrictive control choices or can prevent the system from stabilizing. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_15906 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Boundary Stabilization with restricted observability Banda, Mapundi Kondwani Friedrich, Jan Herty, Michael Optimization and Control 35L45, 35L65, 93D05 Lyapunov functions are popularly used to investigate the stabilization problem of systems of hyperbolic conservation laws with boundary controls. In real life applications often not every boundary value can be observed. In this work, we show the stabilization under a restricted boundary observability. Thereby, we apply the boundary control directly on the observed (physical) variables. Using well-known stabilization results from the literature, we also discuss examples such as a density flow model or the Saint-Venant equations. This shows that a restricted observation can result in more restrictive control choices or can prevent the system from stabilizing. |
| title | Boundary Stabilization with restricted observability |
| topic | Optimization and Control 35L45, 35L65, 93D05 |
| url | https://arxiv.org/abs/2501.15906 |